Remove / repair shower cartridge

The plastic limiter on my shower cartridge broke and it's hard to regulate the on/off and temperature (and dangerous for my small child).

Picture attached and could use some help with several things.
1. This is as far as I have made it. What's the next step to get the cartridge out?
2. Does the cartridge need to come out or can I just replace the green plastic part that broke (if it will come out separate from the rest of the cartridge)?
3. Not sure what kind of cartridge I have, but assume I can figure it out once it's removed.

Remove / repair shower cartridge

Remove / repair shower cartridge

That mixer valve has its own shut off stops---so you could shut off the water using the stops---I seldom do that ,however, as I have had them break---your call--

To remove the cartridge---grip the chrome collar and unscrew it---the cartridge can be wiggled out after that---take the old cartridge to the plumbing supply house and see if they stock one like it---the new cartridge should have the plastic stop rings--

If that is a Delta-(looks rather like one) you could get free parts from the manufacturer---however--without knowing the maker---you are best to just buy a replacement after the plumbing supply identifies it.

One of our plumbers might recognize what you have---so check back later---Mike---

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